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The Super Symmetric Representations of S4 in GL3(2)
(2013-09-20)
This report gives all conjugacy classes of the super symmetric groups HR3 and VR3
The Class 1 4x4 Faithful Representations of S4 over GF(2)
(2013-09-20)
There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 1.
The Class 4 4x4 Faithful Representations of S4 over GF(2)
(2013-09-20)
There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 4.
Primitive Polynomials for the Field GF(3): Degree 2 through Degree 11
(2013-09-20)
This report lists the primitive polynomials over GF(3) of degree 2 through 11. These polynomials were generated using a new matrix-based technique I invented.
Generator Pairs for all 4x4 GF(2) Representations of S4
(2013-09-20)
There are nine conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices. This report gives generator matrices for one group in each class. These generator pairs allow each of the ...
The Subgroups of S5 in Cycle Form
(2012-01-19)
This technical report lists all subgroups of S5 in cycle form, using the integers 0-4.
The Subgroups of S6 in Cycle Form
(2012-01-19)
This technical report lists all subgroups of S6 in cycle form using the integers 0-5.
The Class 10 4x4 Faithful Representations of S4 over GF(2)
(2013-09-20)
There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 10. (There is no class 6, so the classes are ...
Matrix Representations of GF(p[superscript n]) over GF(p)
(2014-01-31)
We show that any non-singular nxn matrix of order p[superscript n]-1 over GF(p) is a generator of a matrix representation of GF(p[superscript n]). We also determine the number of matrix representations of GF(p[superscript ...
The Subgroups of S3 in Cycle Form
(2012-01-19)
This technical report lists all subgroups of S3 in cycle form.